Question

how can I solve the following problem using the TI-89 calculator?

the edge of a cube is found to be 7.25 inches with a possible error of 0.005 inches. use a differential to estimate the possible error that might result when computing the volume

Step 1

To use differentials to estimate error

Step 2

In estimating the variable x, an error ∆x is made. This results in an error f'(x)∆x, when f(x) is estimated.

Step 3

In the present problem, f(x) =x^3, x=7.25 and ∆x=0.005. Substitute these values in th...

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